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Simplifying -3(2c + -19) + 19 = 8c + -20 + 2c Reorder the terms: -3(-19 + 2c) + 19 = 8c + -20 + 2c (-19 * -3 + 2c * -3) + 19 = 8c + -20 + 2c (57 + -6c) + 19 = 8c + -20 + 2c Reorder the terms: 57 + 19 + -6c = 8c + -20 + 2c Combine like terms: 57 + 19 = 76 76 + -6c = 8c + -20 + 2c Reorder the terms: 76 + -6c = -20 + 8c + 2c Combine like terms: 8c + 2c = 10c 76 + -6c = -20 + 10c Solving 76 + -6c = -20 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 76 + -6c + -10c = -20 + 10c + -10c Combine like terms: -6c + -10c = -16c 76 + -16c = -20 + 10c + -10c Combine like terms: 10c + -10c = 0 76 + -16c = -20 + 0 76 + -16c = -20 Add '-76' to each side of the equation. 76 + -76 + -16c = -20 + -76 Combine like terms: 76 + -76 = 0 0 + -16c = -20 + -76 -16c = -20 + -76 Combine like terms: -20 + -76 = -96 -16c = -96 Divide each side by '-16'. c = 6 Simplifying c = 6
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